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Finding the Fourth Proportional to 5,782.44, 7,980.60 and 3,425.34

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Solution

The fourth proportional to 5,782.44, 7,980.60 and 3,425.34 is: 4,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.44 : 7,980.60 = 3,425.34 : x
  2. Step 2: Convert to fraction form
    5,782.44/7,980.60 = 3,425.34/x
  3. Step 3: Cross multiply
    5,782.44x = 7,980.60 × 3,425.34
  4. Step 4: Simplify right side
    5,782.44x = 27,336,268.40
  5. Step 5: Solve for x
    x = 27,336,268.40/5,782.44
  6. Step 6: Final answer
    x = 4,727.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.